How do I get the card back for beating Heroic mode in the Curse of Naxxramas?

Solution 1:

You have to complete all 5 wings on heroic mode to unlock the new card back.

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Source

Completing Naxxramas on Heroic mode (Quest: The Fall of Naxxramas)

Solution 2:

You don't get it from beating the first wing on heroic.

You have to beat all 5 wings on heroic mode.